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​ HELPP.

Quadrilateral ABCD ​ is inscribed in this circle.


What is the measure of angle B?


Enter your answer in the box.

m∠B= °

HELPP. Quadrilateral ABCD is inscribed in this circle. What is the measure of angle B? Enter your answer in the box. m B= class=

Verified Answer :

The measure of angle B is 132 degrees.  A quadrilateral must add up to 360 degrees.  You are given x and 3x-12.  Half of a square's angles is 180.  4x-12 = 180 which x = 48.

Finally, you plug x in for 3x-12 and you get 132 degrees for B.

This assumes that DC and AB are of the same length

JeanaShupp

Answer:  \(m\angle{B}=132^{\circ}\)

Step-by-step explanation:

In the given picture, we have given cyclic Quadrilateral ABCD ​which is inscribed in this circle.

We know that in cyclic quadrilateral the sum of the opposite angles is equals to \(180^{\circ}\)

According to the given picture we have ,

\(m\angle{D}+m\angle{B}=180^{\circ}\\\\\Rightarrow x+(3x-12)=180\\\\\Rightarrow x+3x-12=180\\\\\Rightarrow 4x=180+12\\\\\Rightarrow 4x=192\\\\\Rightarrow x=48\)

Therefore, \(m\angle{B}=(3(48)-12)^{\circ}=132^{\circ}\)

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